Finite Group Databasebeta

#2976×D83 #36269147

order21248
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct product#2976×D83

Splittings

FittingC83×#2976 ⋊ C2
SylowC83 ⋊ C2×#2976

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D83
commutator, socleC22×C83C24×C4
FittingC83×#2976C2
prime radical#525×D83C2
cosocleC2×C4×C83C25
hypercenter#2976D83
hypocenterC83C2×#2976
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #2976

2306 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2656

Conjugacy classes & character table

1892 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 1034311);